A new discrete analog of the Legendre polynomials
HTML articles powered by AMS MathViewer
- by M. Wayne Wilson PDF
- Bull. Amer. Math. Soc. 76 (1970), 345-348
References
- Wolfgang Hahn, Über Orthogonalpolynome, die $q$-Differenzengleichungen genügen, Math. Nachr. 2 (1949), 4–34 (German). MR 30647, DOI 10.1002/mana.19490020103
- Samuel Karlin and James L. McGregor, The Hahn polynomials, formulas and an application, Scripta Math. 26 (1961), 33–46. MR 138806
- R. J. Levit, The zeros of the Hahn polynomials, SIAM Rev. 9 (1967), 191–203. MR 213627, DOI 10.1137/1009032
- Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1959. Revised ed. MR 0106295
- M. Wayne Wilson, Nonnegative expansions of polynomials, Proc. Amer. Math. Soc. 24 (1970), 100–102. MR 287244, DOI 10.1090/S0002-9939-1970-0287244-8
- M. Wayne Wilson, On the Hahn polynomials, SIAM J. Math. Anal. 1 (1970), 131–139. MR 257439, DOI 10.1137/0501013
- M. W. Wilson, Convergence properties of discrete analogs of orthogonal polynomials, Computing (Arch. Elektron. Rechnen) 5 (1970), 1–5 (English, with German summary). MR 258326, DOI 10.1007/bf02234245 8. M. W. Wilson, Two discrete analogs of Legendre polynomials, a comparison, RC 2318, IBM Watson Research Center, Yorktown Heights, New York, 1968.
- P. Wynn, A general system of orthogonal polynomials, Quart. J. Math. Oxford Ser. (2) 18 (1967), 81–96. MR 210963, DOI 10.1093/qmath/18.1.81
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 345-348
- MSC (1970): Primary 3340, 3327
- DOI: https://doi.org/10.1090/S0002-9904-1970-12472-7
- MathSciNet review: 0251275